Abstract
The Friedlander equation, used to describe the pressure-time history of a blast wave, was first introduced in a paper by Friedlander (1946) that describes the analytical solutions of sound pulses diffracted by a semi-infinite plate. Friedlander was renowned for his erudicity and conciseness of presentation, and offers no explanation about the origin of the equation, or its possible association with blast waves. The paper describes work that he did during the war when he was working under the academic direction of Sir Geoffrey (G. I.) Taylor. In the late 1930s and early 1940s Taylor was attempting to find an analytical solution to the point source problem, viz, to describe the pressure wave produced by the instantaneous release of energy at a point in a uniform atmosphere, thus simulating a possible nuclear explosion.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
AirBlast is an interactive database of blast wave properties provided by Dewey McMillin & Associates www.blastanalysis.com.
References
Batchelor, G. (1996). The life and legacy of G.I. Taylor. Cambridge: Cambridge University Press.
Dewey, J. M. (1964). The air velocity in blast waves from t.n.t. explosions. Proceedings of the Royal Society A, 279, 366–385.
Dewey, J. M. (2005). The TNT equivalence of an optimum propane-oxygen mixture. Journal of Physics D: Applied Physics, 38, 4245–4251.
Dewey, J. M. (1997a). Shock waves from explosions, Chap. 16. In S. F. Ray (Ed.), High speed photography and photonics (pp. 245–253). Oxford: Focal Press.
Dewey, J. M. (1997b). Explosive flows: Shock tubes and blast waves, Chap. 29. In W.-J. Yang (Ed.), Handbook of flow visualization (2nd ed.). New York: Hemisphere.
Dewey, J. M. (2000). Spherical expanding shocks (Blast waves). In Handbook of shock waves (Vol. 2, 13.1 ed., pp. 441–481). New York: Academic Press.
Dewey, J. M. (2016). Measurement of the physical properties of blast waves. In O. Igra & F. Seiler (Eds.), Experimental methods of shock wave research. Berlin: Springer.
Dewey, J. M. (2016). A user interface to provide the physical properties of blast waves from propane explosions. In Proceedings of the 22nd international symposium on Military Aspects of Blast and Shock, MABS22, Halifax, Canada.
Dewey, J. M., & Anson, W. A. (1963). A blast wave density gauge using beta radiation. Journal of Scientific Instruments, 40, 568–572.
Dewey, M. C., & Dewey, J. M. (2014). The physical properties of the blast wave produced by a stoichiometric propane/oxygen explosion. Shock Waves, 24, 593–601.
Friedlander, F. G. (1946). The diffraction of sound pulses. I. Diffraction by a semi-infinite plate. Proceedings of the Royal Society of London A, 186, 322–344.
Slater, J. E., Boechler, D. E., & Edgar, R. C. (1995). DRES measurement of free-field airblast. In Minor Uncle Symposium Report, Defense Nuclear Agency, POR 7453-4 (Vol. 4, 2, pp. 1–98).
Taylor, G. I. (1941). The propagation of blast waves over the ground. In G. K. Batchelor (Ed.), G. I. Taylor scientific papers (Vol. 3). Cambridge: Cambridge University Press.
Taylor, G. I. (1946). The air wave surrounding an expanding sphere. Proceedings of the Royal Society of London A, 186, 273–292.
Thornhill, C. K. (1959). The shape of a spherical blast wave, Armament Research and Development Establishment (ARDE) Memo. (B) 41/59. London: HMSO.
Acknowledgement
The author gratefully acknowledges Douglas McMillin, who first observed the Friedlander form of the spherical-piston path, and who developed the piston path method for the reconstruction of the physical properties of centred blast waves.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Dewey, J.M. (2018). The Friedlander Equations. In: Sochet, I. (eds) Blast Effects. Shock Wave and High Pressure Phenomena. Springer, Cham. https://doi.org/10.1007/978-3-319-70831-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-70831-7_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-70829-4
Online ISBN: 978-3-319-70831-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)